Question

What is the point slope for of the line with. Slope 2/5 that passes through the point (-4,-7)

Answer 1

The point-slope form of a line:

$y-y_0=m(x-x_0)$

We have:

$m=\dfrac{2}{5}\\\\(-4,\ -7)\to x_0=-4,\ y_0=-7$

Substitute:

$y-(-7)=\dfrac{2}{5}(x-(-4))\\\\y+7=\dfrac{2}{5}(x+4)$